Question

In the Lotsa Millions Lottery, players pick 8​​ numbers from between 1​ and 38​. The order of the numbers doesn't matter and numbers cannot be repeated. What is the probability that a randomly selected ticket will match exactly ​2​ out of the 8​​ winning numbers?

Answer 1

The probability of matching exactly 2 out of the 8 winning numbers in the Lotsa Millions Lottery is 1 in 16,612,200 or approximately 6.02 x 10^-8.

Step-by-step explanation:

To calculate the probability of matching exactly 2 out of the 8 winning numbers in the Lotsa Millions Lottery, we need to consider the number of ways we can choose 2 numbers from the 8 winning numbers and the number of ways we can choose 6 numbers from the remaining 30 numbers that were not picked.

The number of ways to choose 2 numbers from 8 is given by the combination formula C(8, 2) = 8! / (2!(8-2)!) = 28. The number of ways to choose 6 numbers from the remaining 30 is given by the combination formula C(30, 6) = 30! / (6!(30-6)!) = 593,775.

Therefore, the probability is the ratio of the number of favorable outcomes to the total number of possible outcomes, which is 28 * 593,775 = 16,612,200.

The probability of matching exactly 2 out of 8 winning numbers is 1 / 16,612,200, or approximately 6.02 x 10-8.